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Finding the Fourth Proportional to 257,136.85, 354,844.96 and 143,963.65

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Solution

The fourth proportional to 257,136.85, 354,844.96 and 143,963.65 is: 198,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,136.85 : 354,844.96 = 143,963.65 : x
  2. Step 2: Convert to fraction form
    257,136.85/354,844.96 = 143,963.65/x
  3. Step 3: Cross multiply
    257,136.85x = 354,844.96 × 143,963.65
  4. Step 4: Simplify right side
    257,136.85x = 51,084,775,625.70
  5. Step 5: Solve for x
    x = 51,084,775,625.70/257,136.85
  6. Step 6: Final answer
    x = 198,667.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.